jpeter2406,
I agree with Focht3 and SirAl. My experience is that geotextile fabric is used to bridge soft areas of your parking lot, but in order to do this, you need more than 50mm of fill. I've used Mirafi in the same situation, for which at least 18" of fill is recommended for proper stabilization. The reasoning has been to me as a 'trampoline' effect; the fill surrounding the soft area will hold the fabric taught, minimizing movement of the ashpalt on top of it. But you need enough fill to 'pin' that fabric at the edges, giving it the holding power to bridge the soft area.
I would get a loaded gravel or water truck and roll it across your clay. If you were able to get a look at it last winter/spring during the rainy season, I'd use that information as well. If that clay base moves enough to worry you, I would overexcavate 18", lay down the fabric, followed by 18" of fill, your crushed layer, then pave. If you do a proof roll feel that all of that work would just be rediculous, I would just pave as-is, with the 2" lift of crushed rock, with maybe and inch or so more asphalt just to be sure.
Best of luck! Let us know how it went.